Applying algebraic skills to the binomial theorem and to complex numbersApplying algebraic skills to sequences and seriesApplying algebraic skills to summation and mathematical proofApplying algebraic and calculus skills to properties of functionsApplying algebraic and calculus skills to motion and optimisation

Geometry, Proof & Systemsof Equations

Applying algebraic skills to matrices and systems of equationsApplying algebraic and geometric skills to vectorsApplying geometric skills to complex numbersApplying algebraic skills to number theoryApplying algebraic and geometric skills to methods of proof

Students must pass each of the three units and in addition arerequired to pass an external exam consisting of one three hour paper.